What is the Least Common Multiple of 22210 and 22224?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 22210 and 22224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22210 and 22224, than apply into the LCM equation.

GCF(22210,22224) = 2
LCM(22210,22224) = ( 22210 × 22224) / 2
LCM(22210,22224) = 493595040 / 2
LCM(22210,22224) = 246797520

Least Common Multiple (LCM) of 22210 and 22224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22210 and 22224. First we will calculate the prime factors of 22210 and 22224.

Prime Factorization of 22210

Prime Factorization of 22224

Now multiplying the highest exponent prime factors to calculate the LCM of 22210 and 22224.

LCM(22210,22224) = 2⁴ × 5¹ × 2221¹ × 3¹ × 463¹
LCM(22210,22224) = 246797520